Considering the Given Value of T, Choose the Ordered Pair $$x = \sin t , y = \cos t ; t = \frac { \pi } { 6 }$$

question 418

Multiple Choice

Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations.
- $$x = \sin t , y = \cos t ; t = \frac { \pi } { 6 }$$

• A) \(\left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)\)
• B) \(\left( - \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\)
• C) \(\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\)
• D) \(\left( - \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\)

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Definitions:

Toluene

Toluene is a colorless, water-insoluble liquid hydrocarbon of the aromatic series, used in the manufacture of various chemicals.

Carboxylic Acid

Organic compounds characterized by a carboxyl group (-COOH), known for their acidic properties and widespread occurrence in biochemistry and industrial chemistry.

Organic Product

A compound containing carbon atoms that has been formed as a result of an organic reaction.

Mechanism

Detailed descriptions of the steps involved in a chemical reaction or process, showing how reactants are transformed into products.